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Given the Following Information About Limits, Select a Graph Which

Question 36

Multiple Choice

Given the following information about limits, select a graph which could be the graph of y = f (x) . lim⁡x→∞f(x) =lim⁡x→−∞f(x) =0lim⁡x→−1−f(x) =lim⁡x→1+f(x) =∞lim⁡x→−1+f(x) =lim⁡x→1−f(x) =−∞\begin{array} { l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 0 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \\\quad\quad\quad\quad\quad\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\\end{array}


A)
Given the following information about limits, select a graph which could be the graph of y = f (x) . \begin{array} { l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 0 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \\ \quad\quad\quad\quad\quad\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\ \end{array} A) B) C) D) E) F) G) H)
B)
Given the following information about limits, select a graph which could be the graph of y = f (x) . \begin{array} { l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 0 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \\ \quad\quad\quad\quad\quad\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\ \end{array} A) B) C) D) E) F) G) H)
C)
Given the following information about limits, select a graph which could be the graph of y = f (x) . \begin{array} { l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 0 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \\ \quad\quad\quad\quad\quad\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\ \end{array} A) B) C) D) E) F) G) H)
D)
Given the following information about limits, select a graph which could be the graph of y = f (x) . \begin{array} { l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 0 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \\ \quad\quad\quad\quad\quad\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\ \end{array} A) B) C) D) E) F) G) H)
E)
Given the following information about limits, select a graph which could be the graph of y = f (x) . \begin{array} { l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 0 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \\ \quad\quad\quad\quad\quad\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\ \end{array} A) B) C) D) E) F) G) H)
F)
Given the following information about limits, select a graph which could be the graph of y = f (x) . \begin{array} { l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 0 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \\ \quad\quad\quad\quad\quad\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\ \end{array} A) B) C) D) E) F) G) H)
G)
Given the following information about limits, select a graph which could be the graph of y = f (x) . \begin{array} { l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 0 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \\ \quad\quad\quad\quad\quad\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\ \end{array} A) B) C) D) E) F) G) H)
H)
Given the following information about limits, select a graph which could be the graph of y = f (x) . \begin{array} { l } \lim _ { x \rightarrow \infty } f ( x ) = \lim _ { x \rightarrow - \infty } f ( x ) = 0 \quad\quad\quad \lim _ { x \rightarrow - 1 ^ { - } } f ( x ) = \lim _ { x \rightarrow 1 ^ { + } } f ( x ) = \infty \\ \quad\quad\quad\quad\quad\lim _ { x \rightarrow - 1 ^ { + } } f ( x ) = \lim _ { x \rightarrow 1 ^ { - } } f ( x ) = - \infty \\ \end{array} A) B) C) D) E) F) G) H)

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